Lattice study on kaon nucleon scattering length in the I=1 channel

Abstract

Using the tadpole improved clover Wilson quark action on small, coarse and anisotropic lattices, $KN$ scattering length in the I=1 channel is calculated within quenched approximation. The results are extrapolated towards the chiral and physical kaon mass region. Finite volume and finite lattice spacing errors are also analyzed and a result in the infinite volume and continuum limit is obtained which is compatible with the experiment and the results from Chiral Perturbation Theory.

arXiv comment15 pages, 4 figures, typeset by latex using elsart.cls,minor changes

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• Non-Perturbative Improvement of the Anisotropic Wilson QCD Action
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• Tuning the Tadpole Improved Clover Wilson Action on Coarse Anisotropic Lattices
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• Scattering in the quenched approximation

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• Determination of $s$- and $p$-wave $I=1/2$ $K\pi$ scattering amplitudes in $N_{\mathrm{f}}=2+1$ lattice QCD
• Meson-Baryon Scattering Lengths from Mixed-Action Lattice QCD
• Signatures of S-wave bound-state formation in finite volume
• Meson-baryon scattering lengths in HB$\chi$PT
• Two-pole nature of the $\Lambda (1405)$ from lattice QCD
• Lattice QCD study of $\pi \Sigma -\bar{K}N$ scattering and the $\Lambda (1405)$ resonance
• Low energy scattering phase shifts for meson-baryon systems
• Partial Wave Mixing in Hamiltonian Effective Field Theory
• Hamiltonian effective field theory in elongated or moving finite volume
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• Massive Domain Wall Fermions on Four-dimensional Anisotropic Lattices
• Chern insulator transitions with Wilson fermions on a hyperrectangular lattice
• S-wave kaon-nucleon potentials with all-to-all propagators in the HAL QCD method
• Massive Overlap Fermions on Anisotropic Lattices
• Meson-baryon scattering lengths without annihilation diagrams to order $p^4$ in heavy baryon chiral perturbation theory